{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "88f6e62c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 改为使用 scipy 的 Lomb-Scargle 实现\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import lombscargle\n",
    "from datetime import datetime\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "76f6db55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.19696796586597745"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 重新加载数据\n",
    "df = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result50cm/asteroid_photometry_results.csv\")\n",
    "\n",
    "# 筛选出 r 波段且 calmag 有效的观测点\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "\n",
    "# 转换时间为天数（相对时间）\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 准备数据\n",
    "times = df_r['mjd'].values\n",
    "magnitudes = df_r['calmag'].values\n",
    "errors = df_r['magerr'].values\n",
    "\n",
    "# 频率扫描范围\n",
    "min_period = 0.1  # days\n",
    "max_period = 5.0  # days\n",
    "frequencies = np.linspace(1 / max_period, 1 / min_period, 10000)\n",
    "angular_frequencies = 2 * np.pi * frequencies\n",
    "\n",
    "# 使用 lombscargle 进行周期分析\n",
    "magnitudes_mean_sub = magnitudes - np.mean(magnitudes)\n",
    "power = lombscargle(times, magnitudes_mean_sub, angular_frequencies)\n",
    "\n",
    "# 找到最优周期\n",
    "best_frequency = frequencies[np.argmax(power)]\n",
    "best_period = 1 / best_frequency\n",
    "\n",
    "# 计算相位\n",
    "phases = (times * best_frequency) % 1\n",
    "\n",
    "# 绘图\n",
    "import matplotlib.pyplot as plt\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8))\n",
    "ax1.plot(1 / frequencies, power)\n",
    "ax1.set_xlabel(\"Period (days)\")\n",
    "ax1.set_ylabel(\"Power\")\n",
    "ax1.set_title(f\"Detected Period: {best_period:.4f} days\")\n",
    "\n",
    "ax2.errorbar(phases, magnitudes, yerr=errors, fmt='o', markersize=5, alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(\"Folded Light Curve\")\n",
    "ax2.invert_yaxis()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "best_period\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "23940749",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.19704404374815251"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 筛选出 r 波段且 calmag 有效的观测点\n",
    "df_r = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "\n",
    "# 转换时间为天数（相对时间）\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 准备数据\n",
    "times = df_r['mjd'].values\n",
    "magnitudes = df_r['calmag'].values\n",
    "errors = df_r['magerr'].values\n",
    "\n",
    "# 频率扫描范围\n",
    "min_period = 0.1  # days\n",
    "max_period = 5.0  # days\n",
    "frequencies = np.linspace(1 / max_period, 1 / min_period, 10000)\n",
    "angular_frequencies = 2 * np.pi * frequencies\n",
    "\n",
    "# 使用 lombscargle 进行周期分析\n",
    "magnitudes_mean_sub = magnitudes - np.mean(magnitudes)\n",
    "power = lombscargle(times, magnitudes_mean_sub, angular_frequencies)\n",
    "\n",
    "# 找到最优周期\n",
    "best_frequency = frequencies[np.argmax(power)]\n",
    "best_period = 1 / best_frequency\n",
    "\n",
    "# 计算相位\n",
    "phases = (times * best_frequency) % 1\n",
    "\n",
    "# 绘图\n",
    "import matplotlib.pyplot as plt\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8))\n",
    "ax1.plot(1 / frequencies, power)\n",
    "ax1.set_xlabel(\"Period (days)\")\n",
    "ax1.set_ylabel(\"Power\")\n",
    "ax1.set_title(f\"Detected Period: {best_period:.4f} days\")\n",
    "\n",
    "ax2.errorbar(phases, magnitudes, yerr=errors, fmt='o', markersize=5, alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(\"Folded Light Curve\")\n",
    "ax2.invert_yaxis()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "best_period\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "30ecbbb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(8, 8), sharex=True)\n",
    "\n",
    "# r band\n",
    "ax1.errorbar(phases_r_true, df_r['calmag'], yerr=df_r['magerr'], fmt='o', label='r band', color='tab:red', alpha=0.7)\n",
    "ax1.set_ylabel(\"Magnitude\")\n",
    "ax1.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (r-band)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "\n",
    "# g band\n",
    "ax2.errorbar(phases_g_true, df_g['calmag'], yerr=df_g['magerr'], fmt='o', label='g band', color='tab:green', alpha=0.7)\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (g-band)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e5cb6305",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "53531f98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "# 定义双正弦拟合函数（用于双峰光变曲线）\n",
    "def double_sine(phase, A1, A2, phi1, phi2, offset):\n",
    "    return A1 * np.sin(2 * np.pi * (phase + phi1)) + A2 * np.sin(4 * np.pi * (phase + phi2)) + offset\n",
    "\n",
    "# 对 r 波段进行拟合\n",
    "phase_r = phases_r_true\n",
    "mag_r = df_r['calmag'].values\n",
    "err_r = df_r['magerr'].values\n",
    "\n",
    "# 拟合初始猜测\n",
    "p0 = [0.1, 0.05, 0.0, 0.0, np.mean(mag_r)]\n",
    "\n",
    "# 曲线拟合\n",
    "params_r, _ = curve_fit(double_sine, phase_r, mag_r, p0=p0, sigma=err_r, absolute_sigma=True)\n",
    "\n",
    "# 拟合曲线\n",
    "phase_fit = np.linspace(0, 1, 200)\n",
    "mag_fit_r = double_sine(phase_fit, *params_r)\n",
    "\n",
    "# 绘图：拟合 r 波段光变曲线\n",
    "plt.figure(figsize=(8, 4))\n",
    "plt.errorbar(phase_r, mag_r, yerr=err_r, fmt='o', label='r band data', color='tab:red', alpha=0.7)\n",
    "plt.plot(phase_fit, mag_fit_r, '-', color='black', lw=2, label='Double sine fit')\n",
    "plt.xlabel(\"Phase\")\n",
    "plt.ylabel(\"Magnitude\")\n",
    "plt.title(\"r-band Light Curve with Double Sine Fit\")\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b139c3b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'拟合成功'"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 对 g 波段进行拟合（点较少，拟合效果可能较弱）\n",
    "phase_g = phases_g_true\n",
    "mag_g = df_g['calmag'].values\n",
    "err_g = df_g['magerr'].values\n",
    "\n",
    "# 拟合初始猜测\n",
    "p0_g = [0.1, 0.05, 0.0, 0.0, np.mean(mag_g)]\n",
    "\n",
    "# 尝试拟合，若失败则捕获异常\n",
    "try:\n",
    "    params_g, _ = curve_fit(double_sine, phase_g, mag_g, p0=p0_g, sigma=err_g, absolute_sigma=True)\n",
    "    mag_fit_g = double_sine(phase_fit, *params_g)\n",
    "\n",
    "    # 绘图：拟合 g 波段光变曲线\n",
    "    plt.figure(figsize=(8, 4))\n",
    "    plt.errorbar(phase_g, mag_g, yerr=err_g, fmt='o', label='g band data', color='tab:green', alpha=0.7)\n",
    "    plt.plot(phase_fit, mag_fit_g, '-', color='black', lw=2, label='Double sine fit')\n",
    "    plt.xlabel(\"Phase\")\n",
    "    plt.ylabel(\"Magnitude\")\n",
    "    plt.title(\"g-band Light Curve with Double Sine Fit\")\n",
    "    plt.gca().invert_yaxis()\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "except Exception as e:\n",
    "    result_g_fit = f\"g波段拟合失败：{e}\"\n",
    "\n",
    "result_g_fit if 'result_g_fit' in locals() else \"拟合成功\"\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5dafd07a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "535bd5bf",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "03d41b3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results_uviz.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'i') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5b331589",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results_uviz.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'z') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d62b5e30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results_uviz.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'u') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5a8cc2d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新读取上传的 Mephisto 数据文件以定义 df_uvgr\n",
    "df_uvgr = pd.read_csv(\"/mnt/7b21f1e1-eb25-4cd5-bdb5-06d7d82fa253/Temp/force_photmetry/result/asteroid_photometry_results_uviz.csv\")\n",
    "\n",
    "# 再次定义周期并重新准备 r 波段折叠数据\n",
    "true_period = 0.394  # days\n",
    "\n",
    "df_r_uvgr = df_uvgr[(df_uvgr['band'] == 'v') & (df_uvgr['calmag'].notna())].copy()\n",
    "df_r_uvgr['timestamp'] = pd.to_datetime(df_r_uvgr['obs_time'])\n",
    "df_r_uvgr['mjd'] = (df_r_uvgr['timestamp'] - df_r_uvgr['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "df_r_uvgr['phase'] = (df_r_uvgr['mjd'] / true_period) % 1\n",
    "\n",
    "# 再次绘制颜色-相位图，验证是否恢复正常\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "ax.scatter(df_r_uvgr['phase'], df_r_uvgr['calmag'], alpha=0.7)\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"r magnitude\")\n",
    "ax.set_title(\"r-band Light Curve (Mephisto)\")\n",
    "ax.invert_yaxis()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "bd956219",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from astropy.time import Time\n",
    "df_uviz=df_uvgr\n",
    "# 预处理：转换时间为 MJD，并对每个 band 单独处理\n",
    "df_uviz_clean = df_uviz[df_uviz['calmag'].notna()].copy()\n",
    "df_uviz_clean['timestamp'] = pd.to_datetime(df_uviz_clean['obs_time'])\n",
    "df_uviz_clean['mjd'] = Time(df_uviz_clean['timestamp']).mjd\n",
    "df_uviz_clean['phase'] = (df_uviz_clean['mjd'] / true_period) % 1\n",
    "\n",
    "# 拆分各波段\n",
    "bands = ['u', 'v', 'i', 'z']\n",
    "band_data = {b: df_uviz_clean[df_uviz_clean['band'] == b] for b in bands}\n",
    "\n",
    "# 绘制多波段相位折叠光变曲线\n",
    "fig, ax = plt.subplots(figsize=(8, 5))\n",
    "colors = {'u': 'purple', 'v': 'blue', 'i': 'green', 'z': 'orange'}\n",
    "\n",
    "for b in bands:\n",
    "    if len(band_data[b]) == 0:\n",
    "        continue\n",
    "    ax.errorbar(band_data[b]['phase'], band_data[b]['calmag'],\n",
    "                yerr=band_data[b]['magerr'], fmt='o', label=f'{b} band',\n",
    "                color=colors[b], alpha=0.7)\n",
    "\n",
    "ax.set_xlabel(\"Phase (folded by 0.394 days)\")\n",
    "ax.set_ylabel(\"Magnitude\")\n",
    "ax.set_title(\"Mephisto UVIZ Light Curves (Phase Folded)\")\n",
    "ax.invert_yaxis()\n",
    "ax.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b3fdc4d2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c4b0d57e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3b9c9c07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 识别离群点的函数\n",
    "def identify_outliers(phases, magnitudes, window=0.1, threshold=3.0):\n",
    "    \"\"\"\n",
    "    基于局部标准差识别离群点\n",
    "    \n",
    "    参数:\n",
    "    phases: 相位值数组\n",
    "    magnitudes: 星等数组\n",
    "    window: 局部窗口大小\n",
    "    threshold: 离群值判定阈值(标准差倍数)\n",
    "    \n",
    "    返回:\n",
    "    mask: 布尔数组，True表示对应点是离群点\n",
    "    \"\"\"\n",
    "    mask = np.zeros_like(phases, dtype=bool)\n",
    "    \n",
    "    # 对每个点，检查其局部邻域内的标准差\n",
    "    for i in range(len(phases)):\n",
    "        # 定义局部窗口\n",
    "        phase_min = phases[i] - window/2\n",
    "        phase_max = phases[i] + window/2\n",
    "        \n",
    "        # 处理相位边界\n",
    "        if phase_min < 0:\n",
    "            local_indices = np.where(((phases >= phase_min + 1) | (phases <= phase_max)))[0]\n",
    "        elif phase_max > 1:\n",
    "            local_indices = np.where(((phases >= phase_min) | (phases <= phase_max - 1)))[0]\n",
    "        else:\n",
    "            local_indices = np.where((phases >= phase_min) & (phases <= phase_max))[0]\n",
    "        \n",
    "        # 确保有足够的点进行统计\n",
    "        if len(local_indices) > 5:  # 至少需要5个点\n",
    "            local_mean = np.mean(magnitudes[local_indices])\n",
    "            local_std = np.std(magnitudes[local_indices])\n",
    "            \n",
    "            # 如果当前点偏离局部均值超过阈值，则标记为离群点\n",
    "            if abs(magnitudes[i] - local_mean) > threshold * local_std:\n",
    "                mask[i] = True\n",
    "                \n",
    "    return mask\n",
    "\n",
    "# 计算移动平均线的函数\n",
    "def calculate_moving_average(phases, magnitudes, window=0.1, num_points=100):\n",
    "    \"\"\"\n",
    "    计算相位折叠光变曲线的移动平均线\n",
    "    \n",
    "    参数:\n",
    "    phases: 相位值数组\n",
    "    magnitudes: 星等数组\n",
    "    window: 窗口大小\n",
    "    num_points: 输出平均线的点数\n",
    "    \n",
    "    返回:\n",
    "    smooth_phases: 平滑后的相位点\n",
    "    smooth_mag: 平滑后的星等\n",
    "    \"\"\"\n",
    "    # 创建均匀分布的相位点\n",
    "    smooth_phases = np.linspace(0, 1, num_points)\n",
    "    smooth_mag = np.zeros(num_points)\n",
    "    \n",
    "    # 对每个均匀相位点，计算局部加权平均\n",
    "    for i in range(num_points):\n",
    "        phase = smooth_phases[i]\n",
    "        \n",
    "        # 计算到所有点的相位距离(考虑周期性)\n",
    "        distances = np.minimum(np.abs(phases - phase), 1 - np.abs(phases - phase))\n",
    "        \n",
    "        # 高斯权重，窗口内的点权重高，窗口外的点权重低\n",
    "        weights = np.exp(-0.5 * (distances / (window/2))**2)\n",
    "        \n",
    "        # 只有权重足够高的点才参与平均\n",
    "        valid_indices = weights > 0.01\n",
    "        \n",
    "        if np.sum(valid_indices) > 0:\n",
    "            # 加权平均\n",
    "            smooth_mag[i] = np.average(magnitudes[valid_indices], weights=weights[valid_indices])\n",
    "        else:\n",
    "            # 如果没有足够的点，使用最近点的值\n",
    "            smooth_mag[i] = magnitudes[np.argmin(distances)]\n",
    "    \n",
    "    return smooth_phases, smooth_mag\n",
    "\n",
    "# 识别离群点\n",
    "r_outliers = identify_outliers(phases_r_true, df_r['calmag'].values)\n",
    "g_outliers = identify_outliers(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 计算移动平均线\n",
    "r_smooth_phases, r_smooth_mag = calculate_moving_average(phases_r_true, df_r['calmag'].values)\n",
    "g_smooth_phases, g_smooth_mag = calculate_moving_average(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10), sharex=True)\n",
    "\n",
    "# r band\n",
    "# 绘制原始数据点\n",
    "ax1.errorbar(phases_r_true[~r_outliers], df_r['calmag'].values[~r_outliers], \n",
    "             yerr=df_r['magerr'].values[~r_outliers], fmt='o', \n",
    "             label='r band (normal)', color='tab:red', alpha=0.7)\n",
    "# 标记离群点\n",
    "ax1.errorbar(phases_r_true[r_outliers], df_r['calmag'].values[r_outliers], \n",
    "             yerr=df_r['magerr'].values[r_outliers], fmt='o', \n",
    "             label='r band (outliers)', color='darkred', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "# 绘制平滑曲线\n",
    "ax1.plot(r_smooth_phases, r_smooth_mag, 'r-', label='r band (smooth)', linewidth=2)\n",
    "\n",
    "ax1.set_ylabel(\"Magnitude\")\n",
    "ax1.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (r-band)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "ax1.grid(True, alpha=0.3)\n",
    "\n",
    "# g band\n",
    "# 绘制原始数据点\n",
    "ax2.errorbar(phases_g_true[~g_outliers], df_g['calmag'].values[~g_outliers], \n",
    "             yerr=df_g['magerr'].values[~g_outliers], fmt='o', \n",
    "             label='g band (normal)', color='tab:green', alpha=0.7)\n",
    "# 标记离群点\n",
    "ax2.errorbar(phases_g_true[g_outliers], df_g['calmag'].values[g_outliers], \n",
    "             yerr=df_g['magerr'].values[g_outliers], fmt='o', \n",
    "             label='g band (outliers)', color='darkgreen', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "# 绘制平滑曲线\n",
    "ax2.plot(g_smooth_phases, g_smooth_mag, 'g-', label='g band (smooth)', linewidth=2)\n",
    "\n",
    "ax2.set_xlabel(\"Phase\")\n",
    "ax2.set_ylabel(\"Magnitude\")\n",
    "ax2.set_title(f\"Folded Light Curve with Period = {true_period:.3f} days (g-band)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "ax2.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa1b027b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "975be777",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b1902f4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['SimHei', 'WenQuanYi Micro Hei', 'Heiti TC'] not found. Falling back to DejaVu Sans.\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26143 (\\N{CJK UNIFIED IDEOGRAPH-661F}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 31561 (\\N{CJK UNIFIED IDEOGRAPH-7B49}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "findfont: Font family ['SimHei', 'WenQuanYi Micro Hei', 'Heiti TC'] not found. Falling back to DejaVu Sans.\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21608 (\\N{CJK UNIFIED IDEOGRAPH-5468}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26399 (\\N{CJK UNIFIED IDEOGRAPH-671F}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 22825 (\\N{CJK UNIFIED IDEOGRAPH-5929}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 30340 (\\N{CJK UNIFIED IDEOGRAPH-7684}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 25240 (\\N{CJK UNIFIED IDEOGRAPH-6298}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21472 (\\N{CJK UNIFIED IDEOGRAPH-53E0}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 20809 (\\N{CJK UNIFIED IDEOGRAPH-5149}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 21464 (\\N{CJK UNIFIED IDEOGRAPH-53D8}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 26354 (\\N{CJK UNIFIED IDEOGRAPH-66F2}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 32447 (\\N{CJK UNIFIED IDEOGRAPH-7EBF}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 27874 (\\N{CJK UNIFIED IDEOGRAPH-6CE2}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 27573 (\\N{CJK UNIFIED IDEOGRAPH-6BB5}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 30456 (\\N{CJK UNIFIED IDEOGRAPH-76F8}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/tmp/ipykernel_3955605/2044250674.py:112: UserWarning: Glyph 20301 (\\N{CJK UNIFIED IDEOGRAPH-4F4D}) missing from current font.\n",
      "  plt.tight_layout()\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26143 (\\N{CJK UNIFIED IDEOGRAPH-661F}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 31561 (\\N{CJK UNIFIED IDEOGRAPH-7B49}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 30456 (\\N{CJK UNIFIED IDEOGRAPH-76F8}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 20301 (\\N{CJK UNIFIED IDEOGRAPH-4F4D}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21608 (\\N{CJK UNIFIED IDEOGRAPH-5468}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26399 (\\N{CJK UNIFIED IDEOGRAPH-671F}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 22825 (\\N{CJK UNIFIED IDEOGRAPH-5929}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 30340 (\\N{CJK UNIFIED IDEOGRAPH-7684}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 25240 (\\N{CJK UNIFIED IDEOGRAPH-6298}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21472 (\\N{CJK UNIFIED IDEOGRAPH-53E0}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 20809 (\\N{CJK UNIFIED IDEOGRAPH-5149}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 21464 (\\N{CJK UNIFIED IDEOGRAPH-53D8}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 26354 (\\N{CJK UNIFIED IDEOGRAPH-66F2}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 32447 (\\N{CJK UNIFIED IDEOGRAPH-7EBF}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 27874 (\\N{CJK UNIFIED IDEOGRAPH-6CE2}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n",
      "/home/yndx/anaconda3/lib/python3.9/site-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 27573 (\\N{CJK UNIFIED IDEOGRAPH-6BB5}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.io import fits\n",
    "\n",
    "# 设置中文字体支持\n",
    "plt.rcParams[\"font.family\"] = [\"SimHei\", \"WenQuanYi Micro Hei\", \"Heiti TC\"]\n",
    "\n",
    "# 假设这是你的数据加载部分\n",
    "# df = pd.read_csv('your_data.csv')\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 识别离群点的函数\n",
    "def identify_outliers(phases, magnitudes, window=0.1, threshold=3.0):\n",
    "    mask = np.zeros_like(phases, dtype=bool)\n",
    "    for i in range(len(phases)):\n",
    "        phase_min = phases[i] - window/2\n",
    "        phase_max = phases[i] + window/2\n",
    "        \n",
    "        if phase_min < 0:\n",
    "            local_indices = np.where(((phases >= phase_min + 1) | (phases <= phase_max)))[0]\n",
    "        elif phase_max > 1:\n",
    "            local_indices = np.where(((phases >= phase_min) | (phases <= phase_max - 1)))[0]\n",
    "        else:\n",
    "            local_indices = np.where((phases >= phase_min) & (phases <= phase_max))[0]\n",
    "        \n",
    "        if len(local_indices) > 5:\n",
    "            local_mean = np.mean(magnitudes[local_indices])\n",
    "            local_std = np.std(magnitudes[local_indices])\n",
    "            \n",
    "            if abs(magnitudes[i] - local_mean) > threshold * local_std:\n",
    "                mask[i] = True\n",
    "                \n",
    "    return mask\n",
    "\n",
    "# 计算移动平均线的函数\n",
    "def calculate_moving_average(phases, magnitudes, window=0.1, num_points=100):\n",
    "    smooth_phases = np.linspace(0, 1, num_points)\n",
    "    smooth_mag = np.zeros(num_points)\n",
    "    \n",
    "    for i in range(num_points):\n",
    "        phase = smooth_phases[i]\n",
    "        distances = np.minimum(np.abs(phases - phase), 1 - np.abs(phases - phase))\n",
    "        weights = np.exp(-0.5 * (distances / (window/2))**2)\n",
    "        valid_indices = weights > 0.01\n",
    "        \n",
    "        if np.sum(valid_indices) > 0:\n",
    "            smooth_mag[i] = np.average(magnitudes[valid_indices], weights=weights[valid_indices])\n",
    "        else:\n",
    "            smooth_mag[i] = magnitudes[np.argmin(distances)]\n",
    "    \n",
    "    return smooth_phases, smooth_mag\n",
    "\n",
    "# 识别离群点\n",
    "r_outliers = identify_outliers(phases_r_true, df_r['calmag'].values)\n",
    "g_outliers = identify_outliers(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 计算移动平均线\n",
    "r_smooth_phases, r_smooth_mag = calculate_moving_average(phases_r_true, df_r['calmag'].values)\n",
    "g_smooth_phases, g_smooth_mag = calculate_moving_average(phases_g_true, df_g['calmag'].values)\n",
    "\n",
    "# 绘图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10), sharex=True)\n",
    "\n",
    "# r band\n",
    "r_normal = ax1.errorbar(phases_r_true[~r_outliers], df_r['calmag'].values[~r_outliers], \n",
    "                        yerr=df_r['magerr'].values[~r_outliers], fmt='o', \n",
    "                        label='r band (normal)', color='tab:red', alpha=0.7)\n",
    "r_outlier = ax1.errorbar(phases_r_true[r_outliers], df_r['calmag'].values[r_outliers], \n",
    "                        yerr=df_r['magerr'].values[r_outliers], fmt='o', \n",
    "                        label='r band (outliers)', color='darkred', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "ax1.plot(r_smooth_phases, r_smooth_mag, 'r-', label='r band (smooth)', linewidth=2)\n",
    "\n",
    "ax1.set_ylabel(\"星等\")\n",
    "ax1.set_title(f\"周期 = {true_period:.3f} 天的折叠光变曲线 (r波段)\")\n",
    "ax1.invert_yaxis()\n",
    "ax1.legend()\n",
    "ax1.grid(True, alpha=0.3)\n",
    "\n",
    "# g band\n",
    "g_normal = ax2.errorbar(phases_g_true[~g_outliers], df_g['calmag'].values[~g_outliers], \n",
    "                        yerr=df_g['magerr'].values[~g_outliers], fmt='o', \n",
    "                        label='g band (normal)', color='tab:green', alpha=0.7)\n",
    "g_outlier = ax2.errorbar(phases_g_true[g_outliers], df_g['calmag'].values[g_outliers], \n",
    "                        yerr=df_g['magerr'].values[g_outliers], fmt='o', \n",
    "                        label='g band (outliers)', color='darkgreen', alpha=0.9, markersize=8, markeredgewidth=1, markeredgecolor='black')\n",
    "ax2.plot(g_smooth_phases, g_smooth_mag, 'g-', label='g band (smooth)', linewidth=2)\n",
    "\n",
    "ax2.set_xlabel(\"相位\")\n",
    "ax2.set_ylabel(\"星等\")\n",
    "ax2.set_title(f\"周期 = {true_period:.3f} 天的折叠光变曲线 (g波段)\")\n",
    "ax2.invert_yaxis()\n",
    "ax2.legend()\n",
    "ax2.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "# 存储所有点的数据和艺术家对象\n",
    "all_points = {\n",
    "    r_normal: (df_r.iloc[~r_outliers], phases_r_true[~r_outliers]),\n",
    "    r_outlier: (df_r.iloc[r_outliers], phases_r_true[r_outliers]),\n",
    "    g_normal: (df_g.iloc[~g_outliers], phases_g_true[~g_outliers]),\n",
    "    g_outlier: (df_g.iloc[g_outliers], phases_g_true[g_outliers])\n",
    "}\n",
    "\n",
    "# 创建注释框\n",
    "annot = ax1.annotate(\"\", xy=(0,0), xytext=(20,20), textcoords=\"offset points\",\n",
    "                     bbox=dict(boxstyle=\"round\", fc=\"w\"),\n",
    "                     arrowprops=dict(arrowstyle=\"->\"))\n",
    "annot.set_visible(False)\n",
    "\n",
    "# 提取FITS文件头信息的函数\n",
    "def get_fits_info(fits_path):\n",
    "    try:\n",
    "        with fits.open(fits_path) as hdul:\n",
    "            header = hdul[0].header\n",
    "            info = {\n",
    "                'DATE-OBS': header.get('DATE-OBS', 'N/A'),\n",
    "                'TELESCOP': header.get('TELESCOP', 'N/A'),\n",
    "                'INSTRUME': header.get('INSTRUME', 'N/A'),\n",
    "                'EXPTIME': header.get('EXPTIME', 'N/A'),\n",
    "                'FILTER': header.get('FILTER', 'N/A')\n",
    "            }\n",
    "            return info\n",
    "    except Exception as e:\n",
    "        print(f\"无法读取FITS文件 {fits_path}: {e}\")\n",
    "        return {'ERROR': f'无法读取文件: {str(e)}'}\n",
    "\n",
    "# 鼠标点击事件处理函数\n",
    "def on_click(event):\n",
    "    # 只处理鼠标左键点击\n",
    "    if event.button != 1:\n",
    "        return\n",
    "    \n",
    "    # 检查点击是否在图表区域内\n",
    "    if event.inaxes not in [ax1, ax2]:\n",
    "        return\n",
    "    \n",
    "    # 初始化最小距离和最近点索引\n",
    "    min_dist = float('inf')\n",
    "    closest_point = None\n",
    "    data_row = None\n",
    "    band = None\n",
    "    \n",
    "    # 遍历所有点集合查找最近点\n",
    "    for artist, (data, phases) in all_points.items():\n",
    "        if artist.get_axes() != event.inaxes:\n",
    "            continue\n",
    "            \n",
    "        # 获取数据点的坐标\n",
    "        xdata = phases\n",
    "        ydata = data['calmag'].values\n",
    "        \n",
    "        # 计算点击位置到所有点的距离\n",
    "        distances = np.sqrt((xdata - event.xdata)**2 + (ydata - event.ydata)**2)\n",
    "        min_idx = np.argmin(distances)\n",
    "        \n",
    "        # 如果这个点更近，更新最近点信息\n",
    "        if distances[min_idx] < min_dist:\n",
    "            min_dist = distances[min_idx]\n",
    "            closest_point = min_idx\n",
    "            data_row = data.iloc[closest_point]\n",
    "            band = 'r' if artist.get_axes() == ax1 else 'g'\n",
    "    \n",
    "    # 设置距离阈值，避免点击空白区域\n",
    "    if min_dist > 0.05:  # 可以根据需要调整这个阈值\n",
    "        annot.set_visible(False)\n",
    "        fig.canvas.draw_idle()\n",
    "        return\n",
    "    \n",
    "    # 获取FITS文件信息\n",
    "    fits_path = data_row.get('fits_path', 'unknown.fits')  # 假设你的DataFrame中有fits_path列\n",
    "    fits_info = get_fits_info(fits_path)\n",
    "    \n",
    "    # 构建显示信息\n",
    "    info_text = (f\"波段: {band}\\n\"\n",
    "                 f\"相位: {event.xdata:.4f}\\n\"\n",
    "                 f\"星等: {data_row['calmag']:.4f} ± {data_row['magerr']:.4f}\\n\"\n",
    "                 f\"MJD: {data_row['mjd']:.4f}\\n\"\n",
    "                 f\"观测时间: {data_row['timestamp']}\\n\"\n",
    "                 f\"\\nFITS文件信息:\\n\"\n",
    "                 f\"日期: {fits_info['DATE-OBS']}\\n\"\n",
    "                 f\"望远镜: {fits_info['TELESCOP']}\\n\"\n",
    "                 f\"仪器: {fits_info['INSTRUME']}\\n\"\n",
    "                 f\"曝光时间: {fits_info['EXPTIME']}s\\n\"\n",
    "                 f\"滤镜: {fits_info['FILTER']}\")\n",
    "    \n",
    "    # 更新注释框\n",
    "    annot.xy = (event.xdata, event.ydata)\n",
    "    annot.set_text(info_text)\n",
    "    annot.set_visible(True)\n",
    "    \n",
    "    # 确保注释框在可见区域内\n",
    "    fig.canvas.draw_idle()\n",
    "\n",
    "# 连接事件处理函数\n",
    "fig.canvas.mpl_connect('button_press_event', on_click)\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bfc508cb",
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "__init__() got an unexpected keyword argument 'inverse'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Input \u001b[0;32mIn [10]\u001b[0m, in \u001b[0;36m<cell line: 29>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     25\u001b[0m phases_g_true \u001b[38;5;241m=\u001b[39m (df_g[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmjd\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;241m.\u001b[39mvalues \u001b[38;5;241m/\u001b[39m true_period) \u001b[38;5;241m%\u001b[39m \u001b[38;5;241m1\u001b[39m\n\u001b[1;32m     27\u001b[0m \u001b[38;5;66;03m# 创建r波段光变曲线\u001b[39;00m\n\u001b[1;32m     28\u001b[0m r_chart \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m     29\u001b[0m     Line()\n\u001b[1;32m     30\u001b[0m     \u001b[38;5;241m.\u001b[39madd_xaxis(phases_r_true\u001b[38;5;241m.\u001b[39mtolist())\n\u001b[1;32m     31\u001b[0m     \u001b[38;5;241m.\u001b[39madd_yaxis(\n\u001b[1;32m     32\u001b[0m         \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mr波段\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m     33\u001b[0m         df_r[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcalmag\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;241m.\u001b[39mtolist(),\n\u001b[1;32m     34\u001b[0m         symbol\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mcircle\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m     35\u001b[0m         symbol_size\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m6\u001b[39m,\n\u001b[1;32m     36\u001b[0m         color\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m#e53935\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m     37\u001b[0m         label_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mLabelOpts(is_show\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m),\n\u001b[1;32m     38\u001b[0m         tooltip_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mTooltipOpts(\n\u001b[1;32m     39\u001b[0m             is_show\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m,\n\u001b[1;32m     40\u001b[0m             formatter\u001b[38;5;241m=\u001b[39mJsCode(\u001b[38;5;124m\"\"\"\u001b[39m\n\u001b[1;32m     41\u001b[0m \u001b[38;5;124m                function(params) \u001b[39m\u001b[38;5;124m{\u001b[39m\n\u001b[1;32m     42\u001b[0m \u001b[38;5;124m                    var index = params.dataIndex;\u001b[39m\n\u001b[1;32m     43\u001b[0m \u001b[38;5;124m                    var date = new Date(df_r_obs_times[index]);\u001b[39m\n\u001b[1;32m     44\u001b[0m \u001b[38;5;124m                    var dateStr = date.getFullYear() + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m-\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + \u001b[39m\n\u001b[1;32m     45\u001b[0m \u001b[38;5;124m                                  (date.getMonth()+1).toString().padStart(2, \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m0\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m-\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + \u001b[39m\n\u001b[1;32m     46\u001b[0m \u001b[38;5;124m                                  date.getDate().toString().padStart(2, \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m0\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     47\u001b[0m \u001b[38;5;124m                                  date.getHours().toString().padStart(2, \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m0\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m:\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     48\u001b[0m \u001b[38;5;124m                                  date.getMinutes().toString().padStart(2, \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m0\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m);\u001b[39m\n\u001b[1;32m     49\u001b[0m \u001b[38;5;124m                    return \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m相位: \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + params.data[0].toFixed(4) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m<br/>\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     50\u001b[0m \u001b[38;5;124m                           \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m星等: \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + params.data[1].toFixed(3) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m ± \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + df_r_errors[index].toFixed(3) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m<br/>\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     51\u001b[0m \u001b[38;5;124m                           \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mMJD: \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + df_r_mjd[index].toFixed(4) + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m<br/>\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     52\u001b[0m \u001b[38;5;124m                           \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m观测时间: \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + dateStr + \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m<br/>\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m +\u001b[39m\n\u001b[1;32m     53\u001b[0m \u001b[38;5;124m                           \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mFITS文件: \u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m + df_r_fits[index];\u001b[39m\n\u001b[1;32m     54\u001b[0m \u001b[38;5;124m                }\u001b[39m\n\u001b[1;32m     55\u001b[0m \u001b[38;5;124m            \u001b[39m\u001b[38;5;124m\"\"\"\u001b[39m)\n\u001b[1;32m     56\u001b[0m         ),\n\u001b[1;32m     57\u001b[0m         itemstyle_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mItemStyleOpts(\n\u001b[1;32m     58\u001b[0m             border_width\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m,\n\u001b[1;32m     59\u001b[0m             border_color\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m#333\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m     60\u001b[0m         ),\n\u001b[1;32m     61\u001b[0m         markpoint_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mMarkPointOpts(\n\u001b[1;32m     62\u001b[0m             data\u001b[38;5;241m=\u001b[39m[\n\u001b[1;32m     63\u001b[0m                 opts\u001b[38;5;241m.\u001b[39mMarkPointItem(type_\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmax\u001b[39m\u001b[38;5;124m\"\u001b[39m, name\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m最大值\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m     64\u001b[0m                 opts\u001b[38;5;241m.\u001b[39mMarkPointItem(type_\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmin\u001b[39m\u001b[38;5;124m\"\u001b[39m, name\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m最小值\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m     65\u001b[0m             ]\n\u001b[1;32m     66\u001b[0m         ),\n\u001b[1;32m     67\u001b[0m     )\n\u001b[1;32m     68\u001b[0m     \u001b[38;5;241m.\u001b[39mset_global_opts(\n\u001b[1;32m     69\u001b[0m         title_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mTitleOpts(title\u001b[38;5;241m=\u001b[39m\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mr波段相位折叠光变曲线 (周期 = \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mtrue_period\u001b[38;5;132;01m:\u001b[39;00m\u001b[38;5;124m.3f\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m天)\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m     70\u001b[0m         tooltip_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mTooltipOpts(trigger\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124maxis\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m     71\u001b[0m         xaxis_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mAxisOpts(\n\u001b[1;32m     72\u001b[0m             name\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m相位\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m     73\u001b[0m             type_\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvalue\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m     74\u001b[0m             min_\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m,\n\u001b[1;32m     75\u001b[0m             max_\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m,\n\u001b[1;32m     76\u001b[0m             splitline_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mSplitLineOpts(is_show\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m),\n\u001b[1;32m     77\u001b[0m         ),\n\u001b[0;32m---> 78\u001b[0m         yaxis_opts\u001b[38;5;241m=\u001b[39m\u001b[43mopts\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mAxisOpts\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m     79\u001b[0m \u001b[43m            \u001b[49m\u001b[43mname\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43m星等\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     80\u001b[0m \u001b[43m            \u001b[49m\u001b[43mtype_\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mvalue\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     81\u001b[0m \u001b[43m            \u001b[49m\u001b[43minverse\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m,\u001b[49m\u001b[43m  \u001b[49m\u001b[38;5;66;43;03m# 星等是反向的，值越小越亮\u001b[39;49;00m\n\u001b[1;32m     82\u001b[0m \u001b[43m            \u001b[49m\u001b[43msplitline_opts\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mopts\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mSplitLineOpts\u001b[49m\u001b[43m(\u001b[49m\u001b[43mis_show\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m     83\u001b[0m \u001b[43m        \u001b[49m\u001b[43m)\u001b[49m,\n\u001b[1;32m     84\u001b[0m         legend_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mLegendOpts(pos_top\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m5\u001b[39m\u001b[38;5;124m%\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m     85\u001b[0m         toolbox_opts\u001b[38;5;241m=\u001b[39mopts\u001b[38;5;241m.\u001b[39mToolboxOpts(is_show\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m),\n\u001b[1;32m     86\u001b[0m         datazoom_opts\u001b[38;5;241m=\u001b[39m[\n\u001b[1;32m     87\u001b[0m             opts\u001b[38;5;241m.\u001b[39mDataZoomOpts(type_\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mslider\u001b[39m\u001b[38;5;124m\"\u001b[39m, xaxis_index\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m),\n\u001b[1;32m     88\u001b[0m             opts\u001b[38;5;241m.\u001b[39mDataZoomOpts(type_\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minside\u001b[39m\u001b[38;5;124m\"\u001b[39m, xaxis_index\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m),\n\u001b[1;32m     89\u001b[0m         ],\n\u001b[1;32m     90\u001b[0m     )\n\u001b[1;32m     91\u001b[0m )\n\u001b[1;32m     93\u001b[0m \u001b[38;5;66;03m# 创建g波段光变曲线\u001b[39;00m\n\u001b[1;32m     94\u001b[0m g_chart \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m     95\u001b[0m     Line()\n\u001b[1;32m     96\u001b[0m     \u001b[38;5;241m.\u001b[39madd_xaxis(phases_g_true\u001b[38;5;241m.\u001b[39mtolist())\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    156\u001b[0m     )\n\u001b[1;32m    157\u001b[0m )\n",
      "\u001b[0;31mTypeError\u001b[0m: __init__() got an unexpected keyword argument 'inverse'"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from pyecharts import options as opts\n",
    "from pyecharts.charts import Line, Grid\n",
    "from pyecharts.commons.utils import JsCode\n",
    "\n",
    "# 假设这是你的数据加载部分\n",
    "# df = pd.read_csv('your_data.csv')\n",
    "\n",
    "# 预处理 r 波段\n",
    "df_r = df[(df['band'] == 'r') & (df['calmag'].notna())].copy()\n",
    "df_r['timestamp'] = pd.to_datetime(df_r['obs_time'])\n",
    "df_r['mjd'] = (df_r['timestamp'] - df_r['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 预处理 g 波段\n",
    "df_g = df[(df['band'] == 'g') & (df['calmag'].notna())].copy()\n",
    "df_g['timestamp'] = pd.to_datetime(df_g['obs_time'])\n",
    "df_g['mjd'] = (df_g['timestamp'] - df_g['timestamp'].min()).dt.total_seconds() / 86400.0\n",
    "\n",
    "# 设置真实自转周期\n",
    "true_period = 0.394  # days\n",
    "\n",
    "# 相位折叠\n",
    "phases_r_true = (df_r['mjd'].values / true_period) % 1\n",
    "phases_g_true = (df_g['mjd'].values / true_period) % 1\n",
    "\n",
    "# 创建r波段光变曲线\n",
    "r_chart = (\n",
    "    Line()\n",
    "    .add_xaxis(phases_r_true.tolist())\n",
    "    .add_yaxis(\n",
    "        \"r波段\",\n",
    "        df_r['calmag'].tolist(),\n",
    "        symbol=\"circle\",\n",
    "        symbol_size=6,\n",
    "        color=\"#e53935\",\n",
    "        label_opts=opts.LabelOpts(is_show=False),\n",
    "        tooltip_opts=opts.TooltipOpts(\n",
    "            is_show=True,\n",
    "            formatter=JsCode(\"\"\"\n",
    "                function(params) {\n",
    "                    var index = params.dataIndex;\n",
    "                    var date = new Date(df_r_obs_times[index]);\n",
    "                    var dateStr = date.getFullYear() + '-' + \n",
    "                                  (date.getMonth()+1).toString().padStart(2, '0') + '-' + \n",
    "                                  date.getDate().toString().padStart(2, '0') + ' ' +\n",
    "                                  date.getHours().toString().padStart(2, '0') + ':' +\n",
    "                                  date.getMinutes().toString().padStart(2, '0');\n",
    "                    return '相位: ' + params.data[0].toFixed(4) + '<br/>' +\n",
    "                           '星等: ' + params.data[1].toFixed(3) + ' ± ' + df_r_errors[index].toFixed(3) + '<br/>' +\n",
    "                           'MJD: ' + df_r_mjd[index].toFixed(4) + '<br/>' +\n",
    "                           '观测时间: ' + dateStr + '<br/>' +\n",
    "                           'FITS文件: ' + df_r_fits[index];\n",
    "                }\n",
    "            \"\"\")\n",
    "        ),\n",
    "        itemstyle_opts=opts.ItemStyleOpts(\n",
    "            border_width=1,\n",
    "            border_color=\"#333\"\n",
    "        ),\n",
    "        markpoint_opts=opts.MarkPointOpts(\n",
    "            data=[\n",
    "                opts.MarkPointItem(type_=\"max\", name=\"最大值\"),\n",
    "                opts.MarkPointItem(type_=\"min\", name=\"最小值\"),\n",
    "            ]\n",
    "        ),\n",
    "    )\n",
    "    .set_global_opts(\n",
    "        title_opts=opts.TitleOpts(title=f\"r波段相位折叠光变曲线 (周期 = {true_period:.3f}天)\"),\n",
    "        tooltip_opts=opts.TooltipOpts(trigger=\"axis\"),\n",
    "        xaxis_opts=opts.AxisOpts(\n",
    "            name=\"相位\",\n",
    "            type_=\"value\",\n",
    "            min_=0,\n",
    "            max_=1,\n",
    "            splitline_opts=opts.SplitLineOpts(is_show=True),\n",
    "        ),\n",
    "        yaxis_opts=opts.AxisOpts(\n",
    "            name=\"星等\",\n",
    "            type_=\"value\",\n",
    "            inverse=True,  # 星等是反向的，值越小越亮\n",
    "            splitline_opts=opts.SplitLineOpts(is_show=True),\n",
    "        ),\n",
    "        legend_opts=opts.LegendOpts(pos_top=\"5%\"),\n",
    "        toolbox_opts=opts.ToolboxOpts(is_show=True),\n",
    "        datazoom_opts=[\n",
    "            opts.DataZoomOpts(type_=\"slider\", xaxis_index=0),\n",
    "            opts.DataZoomOpts(type_=\"inside\", xaxis_index=0),\n",
    "        ],\n",
    "    )\n",
    ")\n",
    "\n",
    "# 创建g波段光变曲线\n",
    "g_chart = (\n",
    "    Line()\n",
    "    .add_xaxis(phases_g_true.tolist())\n",
    "    .add_yaxis(\n",
    "        \"g波段\",\n",
    "        df_g['calmag'].tolist(),\n",
    "        symbol=\"circle\",\n",
    "        symbol_size=6,\n",
    "        color=\"#43a047\",\n",
    "        label_opts=opts.LabelOpts(is_show=False),\n",
    "        tooltip_opts=opts.TooltipOpts(\n",
    "            is_show=True,\n",
    "            formatter=JsCode(\"\"\"\n",
    "                function(params) {\n",
    "                    var index = params.dataIndex;\n",
    "                    var date = new Date(df_g_obs_times[index]);\n",
    "                    var dateStr = date.getFullYear() + '-' + \n",
    "                                  (date.getMonth()+1).toString().padStart(2, '0') + '-' + \n",
    "                                  date.getDate().toString().padStart(2, '0') + ' ' +\n",
    "                                  date.getHours().toString().padStart(2, '0') + ':' +\n",
    "                                  date.getMinutes().toString().padStart(2, '0');\n",
    "                    return '相位: ' + params.data[0].toFixed(4) + '<br/>' +\n",
    "                           '星等: ' + params.data[1].toFixed(3) + ' ± ' + df_g_errors[index].toFixed(3) + '<br/>' +\n",
    "                           'MJD: ' + df_g_mjd[index].toFixed(4) + '<br/>' +\n",
    "                           '观测时间: ' + dateStr + '<br/>' +\n",
    "                           'FITS文件: ' + df_g_fits[index];\n",
    "                }\n",
    "            \"\"\")\n",
    "        ),\n",
    "        itemstyle_opts=opts.ItemStyleOpts(\n",
    "            border_width=1,\n",
    "            border_color=\"#333\"\n",
    "        ),\n",
    "        markpoint_opts=opts.MarkPointOpts(\n",
    "            data=[\n",
    "                opts.MarkPointItem(type_=\"max\", name=\"最大值\"),\n",
    "                opts.MarkPointItem(type_=\"min\", name=\"最小值\"),\n",
    "            ]\n",
    "        ),\n",
    "    )\n",
    "    .set_global_opts(\n",
    "        title_opts=opts.TitleOpts(title=f\"g波段相位折叠光变曲线 (周期 = {true_period:.3f}天)\"),\n",
    "        tooltip_opts=opts.TooltipOpts(trigger=\"axis\"),\n",
    "        xaxis_opts=opts.AxisOpts(\n",
    "            name=\"相位\",\n",
    "            type_=\"value\",\n",
    "            min_=0,\n",
    "            max_=1,\n",
    "            splitline_opts=opts.SplitLineOpts(is_show=True),\n",
    "        ),\n",
    "        yaxis_opts=opts.AxisOpts(\n",
    "            name=\"星等\",\n",
    "            type_=\"value\",\n",
    "            inverse=True,  # 星等是反向的，值越小越亮\n",
    "            splitline_opts=opts.SplitLineOpts(is_show=True),\n",
    "        ),\n",
    "        legend_opts=opts.LegendOpts(pos_top=\"5%\"),\n",
    "        toolbox_opts=opts.ToolboxOpts(is_show=True),\n",
    "        datazoom_opts=[\n",
    "            opts.DataZoomOpts(type_=\"slider\", xaxis_index=0),\n",
    "            opts.DataZoomOpts(type_=\"inside\", xaxis_index=0),\n",
    "        ],\n",
    "    )\n",
    ")\n",
    "\n",
    "# 创建网格布局\n",
    "grid = (\n",
    "    Grid()\n",
    "    .add(r_chart, grid_opts=opts.GridOpts(pos_bottom=\"55%\"))\n",
    "    .add(g_chart, grid_opts=opts.GridOpts(pos_top=\"55%\"))\n",
    "    .set_global_opts(\n",
    "        toolbox_opts=opts.ToolboxOpts(\n",
    "            is_show=True,\n",
    "            feature={\n",
    "                \"saveAsImage\": {},\n",
    "                \"dataZoom\": {\"yAxisIndex\": \"none\"},\n",
    "                \"restore\": {},\n",
    "                \"magicType\": {\"type\": [\"line\", \"bar\"]},\n",
    "                \"dataView\": {},\n",
    "            },\n",
    "        )\n",
    "    )\n",
    ")\n",
    "\n",
    "# 添加JavaScript变量，用于在tooltip中访问更多数据\n",
    "additional_js = f\"\"\"\n",
    "var df_r_obs_times = {df_r['obs_time'].tolist()};\n",
    "var df_r_errors = {df_r['magerr'].tolist()};\n",
    "var df_r_mjd = {df_r['mjd'].tolist()};\n",
    "var df_r_fits = {df_r.get('fits_path', ['unknown.fits'] * len(df_r)).tolist()};\n",
    "\n",
    "var df_g_obs_times = {df_g['obs_time'].tolist()};\n",
    "var df_g_errors = {df_g['magerr'].tolist()};\n",
    "var df_g_mjd = {df_g['mjd'].tolist()};\n",
    "var df_g_fits = {df_g.get('fits_path', ['unknown.fits'] * len(df_g)).tolist()};\n",
    "\"\"\"\n",
    "\n",
    "# 渲染图表\n",
    "grid.render(\"folded_lightcurve.html\")\n",
    "\n",
    "# 将额外的JavaScript添加到HTML文件中\n",
    "with open(\"folded_lightcurve.html\", \"r+\", encoding=\"utf-8\") as f:\n",
    "    content = f.read()\n",
    "    # 找到<body>标签后的位置\n",
    "    body_pos = content.find(\"<body>\") + 6\n",
    "    # 插入额外的JavaScript\n",
    "    content = content[:body_pos] + f\"<script>{additional_js}</script>\" + content[body_pos:]\n",
    "    f.seek(0)\n",
    "    f.write(content)\n",
    "    f.truncate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "67cf2325",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://pypi.tuna.tsinghua.edu.cn/simple\n",
      "Collecting pyecharts\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/ae/18/383622b338e4f6948ba1b75a8155d748ce097ead08a4163ca763f0ad510e/pyecharts-2.0.8-py3-none-any.whl (153 kB)\n",
      "\u001b[K     |████████████████████████████████| 153 kB 256 kB/s eta 0:00:011\n",
      "\u001b[?25hRequirement already satisfied: jinja2 in /home/yndx/anaconda3/lib/python3.9/site-packages (from pyecharts) (3.1.5)\n",
      "Collecting simplejson\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/09/68/1e81ed83f38906c8859f2b973afb19302357d6003e724a6105cee0f61ec7/simplejson-3.20.1-cp39-cp39-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl (137 kB)\n",
      "\u001b[K     |████████████████████████████████| 137 kB 879 kB/s eta 0:00:01\n",
      "\u001b[?25hCollecting prettytable\n",
      "  Downloading https://pypi.tuna.tsinghua.edu.cn/packages/02/c7/5613524e606ea1688b3bdbf48aa64bafb6d0a4ac3750274c43b6158a390f/prettytable-3.16.0-py3-none-any.whl (33 kB)\n",
      "Requirement already satisfied: MarkupSafe>=2.0 in /home/yndx/anaconda3/lib/python3.9/site-packages (from jinja2->pyecharts) (3.0.2)\n",
      "Requirement already satisfied: wcwidth in /home/yndx/anaconda3/lib/python3.9/site-packages (from prettytable->pyecharts) (0.2.5)\n",
      "Installing collected packages: simplejson, prettytable, pyecharts\n",
      "Successfully installed prettytable-3.16.0 pyecharts-2.0.8 simplejson-3.20.1\n"
     ]
    }
   ],
   "source": [
    "!pip install pyecharts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "86726020",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
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